Did the majority of voters polled claim that they planned to vote for candidate Q ?
(1) Of the people polled, those claiming that they planned to vote for candidate Q
outnumbered those who did not by 4 to 1.
(2) In the election, candidate Q received 20,000 votes and candidate P received
If you ignore the slight tricky sentense formation here, then the answer is
1 sufficient and 2 insufficuent.
(1) "those who did not" could mean those "who did not claim anything" (chose to remain silent) OR "those who claimed they did not plan to vote for candidate Q".
This means, going by the first interpretation, some people claimed they were to vote for Q. 1/4 of those people didn't voice their opinion in the people poll. This does not describe either the actual percentages or the relative percentages of the people planning to vote for or against Q. So insufficient.
Taking other statement into account, people intending to vote for Q outnumber those who intend to vote against him 4:1. So sufficient.
(2) does not talk about people polled but people who actually voted. So unrelated. (Please note that "people polled" describes the "pre poll" exit polls)
Please post if you've a different view.
Who says elephants can't dance?